One angle of a triangle is 3 times as large as another. The third angle is twice the sum of the first two angles. What is the measure of the largest angle?

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Answer 1 · 2018-04-24T13:49:57

#b=15^@#

#a=45^@#

#c=120^@#

#a= 3b#

#c= 2(a+b)#

We can also say that:
#c=2(3b+b)#

So the triangle sum theorem:
#3b+b+2(3b+b)= 180#

#4b+8b=180#

#12b= 180#

#b=15^@#

Substitute #b# in the equation of #a#:
#a=45^@#

Substitute #b# in the equation of #c#:
#c=120^@#